翻訳と辞書 Words near each other ・ Prokopenko ・ Prokopia ・ Prokopije Čokorilo ・ Prokopios Lazaridis ・ Projective cone ・ Projective connection ・ Projective cover ・ Projective differential geometry ・ Projective frame ・ Projective geometry ・ Projective group (disambiguation) ・ Projective harmonic conjugate ・ Projective hierarchy ・ Projective Hilbert space ・ Projective identification ・ Projective line ・ Projective line over a ring ・ Projective linear group ・ Projective module ・ Projective object ・ Projective orthogonal group ・ Projective plane ・ Projective polyhedron ・ Projective range ・ Projective representation ・ Projective set (disambiguation) ・ Projective Set (game) ・ Projective space ・ Projective superspace ・ Projective test Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Projective line ： ウィキペディア英語版 Projective line In mathematics, a projective line is, roughly speaking, the extension of a usual line by a point called a ''point at infinity''. The statement and the proof of many theorems of geometry are simplified by the resultant elimination of special cases; for example, two distinct projective lines in a projective plane meet in exactly one point (there is no "parallel" case). There are many equivalent ways to formally define a projective line; one of the most common is to define a projective line over a field ''K'', commonly denoted P1(''K''), as the set of one-dimensional subspaces of a two-dimensional ''K''-vector space. This definition is a special instance of the general definition of a projective space. ==Homogeneous coordinates== An arbitrary point in the projective line P1(''K'') may be represented by an equivalence class of ''homogeneous coordinates'', which take the form of a pair :$(:\; x\_2)$ of elements of ''K'' that are not both zero. Two such pairs are equivalent if they differ by an overall nonzero factor ''λ'': :$(:\; x\_2)\; \backslash sim\; (x\_1\; :\; \backslash lambda\; x\_2).$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Projective line」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.